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Finding the Fourth Proportional to 476.62, 657.75 and 290.17

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Solution

The fourth proportional to 476.62, 657.75 and 290.17 is: 400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.62 : 657.75 = 290.17 : x
  2. Step 2: Convert to fraction form
    476.62/657.75 = 290.17/x
  3. Step 3: Cross multiply
    476.62x = 657.75 × 290.17
  4. Step 4: Simplify right side
    476.62x = 190,859.32
  5. Step 5: Solve for x
    x = 190,859.32/476.62
  6. Step 6: Final answer
    x = 400.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.